What is the inverse of f(x)=(8-3x)/(1-2x) ?

The inverse of f(x)=(8-3x)/(1-2x) is (8-x)/(-2x+3)

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inverse of f(x)=(8-3x)/(1-2x)

inverse

f (x) = \frac{8 - 3 x}{1 - 2 x}

\frac{8 - x}{- 2 x + 3}

Solution steps

y = \frac{8 - 3 x}{1 - 2 x}

Replace

x

with

y

x = \frac{8 - 3 y}{1 - 2 y}

Solve for

y, x = \frac{8 - 3 y}{1 - 2 y}

\frac{8 - x}{- 2 x + 3}

y = 2 x + \frac{5}{2}

f (x) = \frac{( 2 x + 3 )}{x}

g (x) = 2 x + 8

f (x) = \frac{3 x ^{2} + 4}{8}

y = \frac{x - 2}{3 x - 1}

What is the inverse of f(x)=(8-3x)/(1-2x) ?
The inverse of f(x)=(8-3x)/(1-2x) is (8-x)/(-2x+3)